Two similar pyramids A and B have surface areas of 135cm^2 and 60cm^2 respectively . The volume of pyramid A is 405 cm^3 work ou t the volume of pyramid B
1 answer:
Answer:
120 cm^3
Step-by-step explanation:
The surface areas are in the ratio 60 to 135 so the single dimensions are in the ratio √60 to √135.
Therefore the volumes are in the ratio (√60)^3 to (√135)^3 or 60^3/2 to 135^3/2.
So Volume of Pyramid B / Volume of Pyramid A
= 60^3/2 / 135^3/2.
Therefore we have the equation 60^3/2 / 135^3/2 = V / 405 where V is the volume of pyramid B.
V = (60^3/2 * 405) / 135^3/2
= 120 cm^3
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